Width = w
Length = 3w - 6
Area = 360
Equation Area = wl
w (3w-6) = 360
3w^2- 6w = 360
3w^2 - 6w - 360 = 0
3 (w^2 - 2w - 120)=0
3(w + 10)(w - 12) = 0
w = -10 & 12
l = 3w-6 = 3 (-10)-6= -30 - 6= -36
l = 3w-6 = 3(12) - 6 = 36-6 = 30
Answer: -10 and 12. Yet, since this is a measurement, it must be positive so 12 ft
Answer:
Option B is the correct answer
Step-by-step explanation:
B. x2 + y2 = 25
Graph A is the correct one
Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points 
From these points we can find the slope of the line .
From point slope formula 
And assigning 
and 
This slope is also the speed of the bird which is 
As by plugging the values of any coordinate point we can confirm this.
Lets put 
, y-axis is the distance so in 
minutes the the distance covered by the bird must be equal to to y-axis value which is 
miles.
Now as in 
the bird has started from y-intercept value 
so we can say that,the original distance of the bird from its nest is 
.
So the correct choices are:
and 
The birds speed is 
per minute and is away from its nest.
(3+4i)*4 = 3*4+4i*4 = 12+16i
The complex number 12+16i is in the form a+bi where a = 12 and b = 16
m = modulus
m = distance from (0,0) to (a,b)
m = sqrt(a^2+b^2)
m = sqrt(12^2+16^2)
m = sqrt(144+256)
m = sqrt(400)
m = 20
Answer: 20
